A029283 - OEIS

A029283

Expansion of 1/((1-x^3)*(1-x^5)*(1-x^8)*(1-x^10)).

1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 3, 2, 3, 4, 2, 5, 4, 5, 6, 4, 7, 7, 7, 9, 7, 10, 10, 11, 12, 11, 14, 14, 15, 17, 15, 19, 19, 21, 22, 21, 25, 25, 27, 29, 27, 33, 32, 35, 37, 35, 41, 41, 43, 47, 44, 51, 51, 54, 57, 55, 62, 63, 65, 70, 67, 75, 76, 79, 83, 82

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OFFSET

0,9

COMMENTS

Number of partitions of n into parts 3, 5, 8, and 10. - Vincenzo Librandi, Jun 04 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,1,0,0,0,0,1,-1,0,-2,0,-1,1,0,0,0,0,1,0,1,0,0,-1).

FORMULA

a(n) = floor((n^3+39*n^2+192*n+5600)/7200 - (n mod 2)*n/160 + ((3*n^2+3*n+2) mod 5)*n/50 - ((n^3+n^2+3*n) mod 5)/5 + ((n+2) mod 3)/9). - Hoang Xuan Thanh, Mar 30 2026

MATHEMATICA

CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^8) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 04 2014 *)

PROG

(PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^8)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

CROSSREFS

Sequence in context: A301563 A330896 A328294 * A382109 A264404 A116482

Adjacent sequences: A029280 A029281 A029282 * A029284 A029285 A029286

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved